Let $\mathrm{f}\left(\mathrm{x}\right)$ and  $\mathrm{g}\left(\mathrm{x}\right)$ be two functions such that $\mathrm{f}\left(\mathrm{a}\right)=0=\mathrm{g}\left(\mathrm{a}\right)$ , then $\underset{\mathrm{x} \to \mathrm{a}}{\lim }\frac{\mathrm{f}\left(\mathrm{x}\right)}{\mathrm{g}\left(\mathrm{x}\right)}=.......$

$\underset{\theta \to 0}{\lim } \frac{\sin \left({\displaystyle \frac{\theta }{2}}\right)}{\theta }$ is equals  to ......

The value of $\underset{\mathrm{x}\to 8}{\lim }\frac{{\mathrm{x}}^{{\displaystyle \frac{1}{3}}}-2}{\mathrm{x}-8}$ is equals to .....

$\underset{\mathrm{x}\to \frac{\mathrm{\pi }}{2}}{\lim } \frac{\log \left(\mathrm{x}-{\displaystyle \frac{\mathrm{\pi }}{2}}\right)}{\tan \left(\mathrm{x}\right)}=$ .....

What is the value of $\underset{\mathrm{n}\to \infty }{\lim } {\left(1-\frac{1}{\mathrm{n}}\right)}^{2\mathrm{n}}$ ?

The value of $\underset{\mathrm{x}\to \frac{\mathrm{\pi }}{2}}{\lim }{\left(\sec \left(\mathrm{x}\right)\right)}^{\cot \left(\mathrm{x}\right)}$  is equals to .....

$\underset{\mathrm{x}\to \infty }{\lim }\frac{3^{\mathrm{x}}}{{\mathrm{x}}^2}$ equals to .....

$\underset{\mathrm{x}\to 0}{\lim } \mathrm{x}·\log \left(\mathrm{x}\right)$ is equals to .....

The value of $\underset{\mathrm{x}\to \frac{\mathrm{\pi }}{2}}{\lim } \left(\sec \left(\mathrm{x}\right)-\tan \left(\mathrm{x}\right)\right)$ is .....

The value of the limit $\underset{\mathrm{x}\to 0}{\lim }\frac{\tan \left(\mathrm{x}\right)}{\mathrm{x}}$ is _____.